Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 1080 and 420.

**Answer**

$1080=({2}^{3})({3}^{3})(5)$

$420=({2}^{2})(3)(5)(7)$

The LCM of 1080 and 420 is the product of the largest powers of each prime factor in both.

Thus the LCM of 1080 and 420

$=({2}^{3})({3}^{3})(5)(7)$

$=7560$